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Description
Partial Differential EquationsThis three part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this volume also constitutes a valuable reference for mathematicians and
This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study. Geared toward graduate and postgraduate students of mathematics, this volume also constitutes a valuable reference for mathematicians and mathematical theorists.Starting with the theory of elliptic equations and the solution of the Dirichlet problem, the text develops the theory of weak derivatives, proves various inequalities and imbedding problems, and derives smoothness theorems. Part Two concerns evolution equations in Banach space and develops the theory of semigroups. It solves the initial-boundary value problem for parabolic equations and covers backward uniqueness, asymptotic behavior, and lower bounds at infinity. The final section includes independent topics directly related to the methods and results of the previous material, including the analyticity of solutions of elliptic and parabolic equations, asymptotic behavior of solutions of elliptic equations near infinity, and problems in the theory of control in Banach space.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/24/2008
ISBN: 9780486469195
Pages: 262
Weight: 0.75lbs
Size: 9.00h x 6.00w x 0.60d
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4.2 ★★★★★
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Product Reviews
★★★★★ 3
Shows wear quickly
Color: Multicolor/Sheep & Cow, Size: Medium
These are cute but not holding up as well as I had hoped. Quality is ok and the Velcro has held up great. The fabric just isn’t as good as it could be. They are much larger than expected.
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Reviewed in the United States on April 28, 2026
★★★★★ 5
Super Sturdy with hours of fun.
Color: Wild Duck, Hare, Squirrel & Alligator, Size: Small
I got the small ones that you cannot put a water bottle in.
These toys have held up way better than expected. I am dog sitting a very rough with toys dog named Chunk. He tears up ever. Single. Toy my dog (Ted) has.
I bought new ones just for chunk. These appealed to me with the no stuffing, They were cheaper, and have a squeaker. Everything chunk needed. They arrived on time and I thought I wasted my money. They were super soft, like too soft. They felt flimsy and weak. Like 5 minutes with chunk and they be dead. 2 hours with my dog and they would have a rip. So far 2 of them (I set two out) have lasted the whole weekend. The bunny looks very rough and disgusting, but no rips, the squeakers still work, and no random fluff everywhere. I am going to wash the bunny once chunk leaves.
My very careful doggo Ted loves them too. He throws them up in the air and catches them, plays tug of war with them, and no rips. They are super sturdy. He can’t wait until Chunk leaves (chunk is 2 and Ted is 12-13) so he can play with them.
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Loved it
Color: Brown/Wild Duck, Size: Large, Color: Brown/Wild Duck, Size: Large
He loved it so much, he destroyed it so we ordered another.
I didn't realize that you can stick an empty water bottle inside.
Again, the first one didn't last long, but he enjoyed it
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Reviewed in the United States on May 20, 2026
★★★★★ 5
Very fun interactive toy
Color: Brown/Wild Duck, Size: Medium
This toy is very versatile. There's no stuffing yet it's very soft so it can be used as a tug toy. It also makes for a fun fetch toy because it has a cavity to put a water bottle. It gives your dog something that crinkles and can be pierced when bitten and easily replaced with another empty bottle whenever necessary.
That is what really makes this toy the standout of all the ones offered by Best Pet imo. I don't expect this to last forever but once my pup gets bigger we'll probably get the large size for her because there's not too many all in one fetch and tug toys at an affordable price.
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Reviewed in the United States on May 15, 2026
★★★★★ 4
Great Toy, but Big Dogs Destroy the Squeakers Fast
Color: Wild Duck, Hare, Squirrel & Alligator, Size: Large
My big dogs had the squeaker torn out in no time, but my little dog absolutely loves this toy. It’s the perfect size for her, and she carries it everywhere. Durable enough for small pups, just not tough enough for heavy chewers. Still a fun toy overall!
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Reviewed in the United States on February 15, 2026